1126512617113 has 16 divisors (see below), whose sum is σ = 1247733513936. Its totient is φ = 1010309932800.

The previous prime is 1126512617107. The next prime is 1126512617129. The reversal of 1126512617113 is 3117162156211.

It can be written as a sum of positive squares in 8 ways, for example, as 33310630144 + 1093201986969 = 182512^2 + 1045563^2 .

It is a cyclic number.

It is not a de Polignac number, because 1126512617113 - 2¹⁷ = 1126512486041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1126512615113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333306 + ... + 2007667.

It is an arithmetic number, because the mean of its divisors is an integer number (77983344621).

Almost surely, 2^{1126512617113} is an apocalyptic number.

1126512617113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1126512617113 is a deficient number, since it is larger than the sum of its proper divisors (121220896823).

1126512617113 is a wasteful number, since it uses less digits than its factorization.

1126512617113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341724.

The product of its digits is 15120, while the sum is 37.

The spelling of 1126512617113 in words is "one trillion, one hundred twenty-six billion, five hundred twelve million, six hundred seventeen thousand, one hundred thirteen".